Skein construction of idempotents in Birman-Murakami-Wenzl algebras
Anna Beliakova, Christian Blanchet
Abstract
We give skein theoretic formulas for minimal idempotents in the Birman-Murakami-Wenzl algebras. These formulas are then applied to derive various known results needed in the construction of quantum invariants and modular categories. In particular, an elementary proof of the Wenzl formula for quantum dimensions is given. This proof does not use the representation theory of quantum groups and the character formulas.
Create a lesson
Related papers
An Explicit Construction of Commuting Quantum KdV Hamiltonians in the Universal Virasoro Vertex Algebra
Hongbo Zhao
Vertex Operator Algebras in Lean: a formal library and its companion book
Fedor K. Popov, Leonardo Rastelli
Uniform localization and boundary corrections for two-node quiver Coulomb branches
Xiaomin Tang
Property F and weak integrality of braided fusion categories
Enyu Li, Yuze Ruan
From the quantum group Uq1/2( sl2 ) to the Kronecker quantum cluster algebra
Junyuan Huang, Xueqing Chen, Ming Ding et al.
C2-Cofiniteness of Permutation Orbifolds I: Relative C1 Descent
Yuhan Gu, Jiancai Sun